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Finding the Fourth Proportional to 7,870.98, 10,859.52 and 4,467.44

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Solution

The fourth proportional to 7,870.98, 10,859.52 and 4,467.44 is: 6,163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.98 : 10,859.52 = 4,467.44 : x
  2. Step 2: Convert to fraction form
    7,870.98/10,859.52 = 4,467.44/x
  3. Step 3: Cross multiply
    7,870.98x = 10,859.52 × 4,467.44
  4. Step 4: Simplify right side
    7,870.98x = 48,514,254.03
  5. Step 5: Solve for x
    x = 48,514,254.03/7,870.98
  6. Step 6: Final answer
    x = 6,163.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.